Question 1 |

A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved.
What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.

2 | |

4 | |

5 | |

3 |

Question 1 Explanation:

Question 2 |

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw?

First ball is drawn. What is the probability of getting an orange ball in the next draw?

\frac{1}{2} | |

\frac{8}{25} | |

\frac{19}{50} | |

\frac{23}{50} |

Question 2 Explanation:

Question 3 |

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

Which one of the following is the correct logical inference based on the information provided in the above passage?

Equal number of boys and girls qualified | |

Equal number of boys and girls appeared for the test | |

The number of boys who appeared for the test is less than the number of girls who appeared | |

The number of boys who qualified the test is less than the number of girls who qualified |

Question 3 Explanation:

Question 4 |

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

A | |

B | |

C | |

D |

Question 4 Explanation:

Question 5 |

Let r be a root of the equation x^2+2x+6=0

Then the value of the expression (r+2)(r+3)(r+4)(r+5) is

Then the value of the expression (r+2)(r+3)(r+4)(r+5) is

51 | |

-51 | |

126 | |

-126 |

Question 5 Explanation:

Question 6 |

A function y(x) is defined in the interval [0, 1] on the x-axis as

y(x)= \left \{ \begin{matrix} 2 &if & 0 \leq x \leq \frac{1}{3} \\ 3& if& \frac{1}{3} \leq x \leq \frac{3}{4} \\ 1& if& \frac{3}{4} \leq x \leq 1 \end{matrix} \right.

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

y(x)= \left \{ \begin{matrix} 2 &if & 0 \leq x \leq \frac{1}{3} \\ 3& if& \frac{1}{3} \leq x \leq \frac{3}{4} \\ 1& if& \frac{3}{4} \leq x \leq 1 \end{matrix} \right.

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

\frac{5}{6} | |

\frac{6}{5} | |

\frac{13}{6} | |

\frac{6}{13} |

Question 6 Explanation:

Question 7 |

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was Re. 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and teh sum of cost and taxes paid in that year.

The ratio of the selling price in Year 2 to the selling price in Year 3 is _________.

4:03 | |

1:01 | |

3:04 | |

1:02 |

Question 7 Explanation:

Question 8 |

The number of students in three classes is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21.

The total number of students in all the three classes in the beginning was:

The total number of students in all the three classes in the beginning was:

22 | |

66 | |

88 | |

110 |

Question 8 Explanation:

Question 9 |

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

A | |

B | |

C | |

D |

Question 9 Explanation:

Question 10 |

If \left( x - \dfrac{1}{2} \right)^2 - \left( x- \dfrac{3}{2} \right) ^2 = x+2, then the value of x is:

2 | |

4 | |

6 | |

8 |

Question 10 Explanation:

There are 10 questions to complete.